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Finding the Third Proportional to 3,105.84 and 5,416.88

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Solution

The third proportional to 3,105.84 and 5,416.88 is: 9,447.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.84 : 5,416.88 = 5,416.88 : x
  2. Step 2: Convert to fraction form
    3,105.84/5,416.88 = 5,416.88/x
  3. Step 3: Cross multiply
    3,105.84x = 5,416.88 × 5,416.88
  4. Step 4: Simplify right side
    3,105.84x = 29,342,534.77
  5. Step 5: Solve for x
    x = 29,342,534.77/3,105.84
  6. Step 6: Final answer
    x = 9,447.52

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.